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201442133453103 = 323779139397138763
BaseRepresentation
bin101101110011010111100110…
…110011101010100100101111
3222102020200100122011001000100
4231303113212303222210233
5202400411442130444403
61552233123310202143
760300466566362334
oct5563274663524457
9872220318131010
10201442133453103
1159205146826564
121a714a02ab3353
138852bb0c49a9a
1437a5bcbcb498b
151844e8b15a2a3
hexb735e6cea92f

201442133453103 has 96 divisors (see below), whose sum is σ = 305565876761600. Its totient is φ = 127759492194048.

The previous prime is 201442133453081. The next prime is 201442133453161. The reversal of 201442133453103 is 301354331244102.

201442133453103 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 2 + 1 + 334 + 5 + 310 + 3 = 666.

It is not a de Polignac number, because 201442133453103 - 224 = 201442116675887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201442133403103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1451629800 + ... + 1451768562.

Almost surely, 2201442133453103 is an apocalyptic number.

201442133453103 is a deficient number, since it is larger than the sum of its proper divisors (104123743308497).

201442133453103 is a wasteful number, since it uses less digits than its factorization.

201442133453103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139421 (or 139418 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 201442133453103 its reverse (301354331244102), we get a palindrome (502796464697205).

The spelling of 201442133453103 in words is "two hundred one trillion, four hundred forty-two billion, one hundred thirty-three million, four hundred fifty-three thousand, one hundred three".

Divisors: 1 3 9 37 79 111 139 237 333 397 417 711 1191 1251 2923 3573 5143 8769 10981 14689 15429 26307 31363 32943 44067 46287 55183 94089 98829 132201 138763 165549 282267 406297 416289 496647 1160431 1218891 1248867 2041771 3481293 3656673 4359457 5134231 6125313 10443879 10962277 13078371 15402693 18375939 19288057 32886831 39235113 46208079 55088911 57864171 98660493 161299909 165266733 173592513 405604249 483899727 495800199 713658109 1216812747 1451699181 1523756503 2038289707 2140974327 3650438241 4352023969 4571269509 6114869121 6422922981 7657358629 13056071907 13713808527 18344607363 22972075887 39168215721 56378990611 68916227661 161024886853 169136971833 283322269273 483074660559 507410915499 604931331691 849966807819 1449223981677 1814793995073 2549900423457 5444381985219 22382459272567 67147377817701 201442133453103